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Finding the Third Proportional to 292,210.50 and 466,803

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Solution

The third proportional to 292,210.50 and 466,803 is: 745,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,210.50 : 466,803 = 466,803 : x
  2. Step 2: Convert to fraction form
    292,210.50/466,803 = 466,803/x
  3. Step 3: Cross multiply
    292,210.50x = 466,803 × 466,803
  4. Step 4: Simplify right side
    292,210.50x = 217,905,040,809
  5. Step 5: Solve for x
    x = 217,905,040,809/292,210.50
  6. Step 6: Final answer
    x = 745,712.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.